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Finding the Fourth Proportional to 329,069.30, 453,882.84 and 214,136.40

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Solution

The fourth proportional to 329,069.30, 453,882.84 and 214,136.40 is: 295,356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,069.30 : 453,882.84 = 214,136.40 : x
  2. Step 2: Convert to fraction form
    329,069.30/453,882.84 = 214,136.40/x
  3. Step 3: Cross multiply
    329,069.30x = 453,882.84 × 214,136.40
  4. Step 4: Simplify right side
    329,069.30x = 97,192,837,379.38
  5. Step 5: Solve for x
    x = 97,192,837,379.38/329,069.30
  6. Step 6: Final answer
    x = 295,356.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.